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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2502.10987 |
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| _version_ | 1866912357424300032 |
|---|---|
| author | Hirota, Shunsuke |
| author_facet | Hirota, Shunsuke |
| contents | We study some variants of Verma modules of basic Lie superalgebras obtained via changing Borel subalgebras. These allow us to demonstrate that the principal block of \(\mathfrak{gl}(1|1)\) is realized as (non-Serre) full subcategories of any atypical block of BGG category \( \mathcal{O} \) of basic Lie superalgebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_10987 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hypercubic Decomposition of Verma Supermodules and Semibricks Realizing the Khovanov Algebra of Defect One Hirota, Shunsuke Representation Theory Rings and Algebras 17B55, 18E10 We study some variants of Verma modules of basic Lie superalgebras obtained via changing Borel subalgebras. These allow us to demonstrate that the principal block of \(\mathfrak{gl}(1|1)\) is realized as (non-Serre) full subcategories of any atypical block of BGG category \( \mathcal{O} \) of basic Lie superalgebras. |
| title | Hypercubic Decomposition of Verma Supermodules and Semibricks Realizing the Khovanov Algebra of Defect One |
| topic | Representation Theory Rings and Algebras 17B55, 18E10 |
| url | https://arxiv.org/abs/2502.10987 |